Pith Number

pith:WLKSVOEN

pith:2020:WLKSVOENMTKSSV4MRMHV6UA2AO

not attested not anchored not stored refs pending

The thermal and gravitational energy densities in the large-scale structure of the Universe

Brice M\'enard, Eiichiro Komatsu, Ryu Makiya, Yi-Kuan Chiang

arxiv:2007.01679 v3 · 2020-07-03 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLKSVOENMTKSSV4MRMHV6UA2AO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T02:27:22.078712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d52ab88d64d529578c8b0f5f501a03a1ce5cac5661969b4b5d068c873401c5

Aliases

arxiv: 2007.01679 · arxiv_version: 2007.01679v3 · doi: 10.48550/arxiv.2007.01679 · pith_short_12: WLKSVOENMTKS · pith_short_16: WLKSVOENMTKSSV4M · pith_short_8: WLKSVOEN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WLKSVOENMTKSSV4MRMHV6UA2AO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b2d52ab88d64d529578c8b0f5f501a03a1ce5cac5661969b4b5d068c873401c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3abd002c7710cd087766466ea551e8c0989787e4ea1b6f16d7aad15435b1e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-07-03T13:38:22Z",
    "title_canon_sha256": "6dccee70764d7a253c02f77f458dcedb9e617a511808dfbdf7b28a5cb4791058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01679",
    "kind": "arxiv",
    "version": 3
  }
}